Seminars on Numerical Algorithms, Analyses, and Applications：Model reduction based on the Onsager variational principle and its applications in numerical analysis-Tianyuan Mathematical Center in Southeast China (TMSE)

Seminars on Numerical Algorithms, Analyses, and Applications：Model reduction based on the Onsager variational principle and its applications in numerical analysis

May 29, 2023

Conference Room 106 at Experiment Building at Haiyun Campus

Xianmin Xu (Academy of Mathematics Systems Science, CAS)

Speaker：Xianmin Xu (Academy of Mathematics Systems Science, CAS)

Time：2023-5-29, 10:30

Location：Conference Room 106 at Experiment Building at Haiyun Campus

Abstract:

The Onsager principle is a fundamental law for irreversible processes in statistic physics. It has been used to develop theoretical models for many problems in soft matter, like the diffusion process, the dynamics of liquid crystal solution and the moving contact line problems, etc. Recently, the variational principle has been used as an approximation tool to derive reduced models for many complicated systems. In this talk, we will present some applications the Onsager variational principle in numerical analysis, including derivation of a diffusion-generated motion method for wetting problems, a moving finite element method for gradient flows and geometric partial differential equations. The variational formulation makes it convenient to design numerical schemes and to do numerical analysis.